Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control.
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ABSTRACT:
SUBMITTER: Brunton SL
PROVIDER: S-EPMC4769143 | biostudies-literature | 2016
REPOSITORIES: biostudies-literature
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Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control.
Brunton Steven L SL Brunton Bingni W BW Proctor Joshua L JL Kutz J Nathan JN
PloS one 20160226 2
In this wIn this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace spanned by specially chosen observable functions. The Koopman operator is an infinite-dimensional linear operator that evolves functions of the state of a dynamical system. Dominant terms in the Koopman expansion are typically computed using dynamic mode decomposition (DMD). DMD uses linear measurements of the state variables, and ...[more]
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